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Finding the Fourth Proportional to 5,420.16, 8,128.80 and 3,664.26

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Solution

The fourth proportional to 5,420.16, 8,128.80 and 3,664.26 is: 5,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.16 : 8,128.80 = 3,664.26 : x
  2. Step 2: Convert to fraction form
    5,420.16/8,128.80 = 3,664.26/x
  3. Step 3: Cross multiply
    5,420.16x = 8,128.80 × 3,664.26
  4. Step 4: Simplify right side
    5,420.16x = 29,786,036.69
  5. Step 5: Solve for x
    x = 29,786,036.69/5,420.16
  6. Step 6: Final answer
    x = 5,495.42

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